Question

A hotel is building a large new aquarium for their lobby. They know the length from the top corner to the opposite bottom corner is 13 feet long, the height is 12 feet and the length is 4 feet. Solve for the width and then determine the volume in cubic feet of water it will take to fill the aquarium

Answer 1

Answer:

• 3 ft, 144 ft³

Step-by-step explanation:

Find the width as below

• l² + w² + h² = d², where l- length, w- width, h- height, d- the distance between top and bottom corners

Substitute the values and solve for w

• 4² + w² + 12² = 13²
• w² + 160 = 169
• w² = 9
• w = 3 feet

Now find the volume

• V = lwh
• V = 4*3*12 = 144 ft³